Note on geodesics of cotangent bundle with Berger-type deformed Sasaki metric over K\"ahlerian manifold
Abstract
In this paper, first, we introduce the Berger-type deformed Sasaki metric on the cotangent bundle TM over a K\"ahlerian manifold (M2m, J, g) and investigate the Levi-Civita connection of this metric. Secondly, we present the unit cotangent bundle equipped with Berger-type deformed Sasaki metric, and we investigate the Levi-Civita connection. Finally, we study the geodesics on the cotangent bundle and on unit cotangent bundle with respect to the Berger-type deformed Sasaki metric.
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